Post on 12-Apr-2017
Multivariate Statistical Analysis
One-way ANOVA
Imad Feneir
1. Summer jobs
Based on the data collected, can the
professor infer at the 5 % significance level that students in different
degree programs differ in their summer earnings?
B.A. B.Sc. B.B.A3.3 3.9 42.5 5.1 6.24.6 3.9 6.35.4 6.2 5.93.9 4.8 6.4
State the hypotheses: H0: μ1 = μ2 = μ3
H1: μi not all equal
P-value < 0.0493 < 0.05
There is evidence that students in different degree programs differ in their summer earnings.
0.049252
The assumptions conditions for the test conducted
- Populations are normally distributed.- Populations have equal variances.- Samples are randomly and
independently drawn.
2. BrandsDo the data collected
provide sufficient evidence to conclude that differences exist
between the three margarine brands ?
Use = 0.01
Brand 1 Brand 2 Brand 31 2 13 2 23 4 40 3 21 0 30 4 4
State the hypotheses: H0: μ1 = μ2 = μ3
H1: μi not all equal
P-value > 0.218 > 0.05
There is no sufficient evidence to conclude that differences exist between the three margarine brands.
0.21846
3. MBA jobsCan you conclude at 5
% significance level that there are
differences in the number of job offers between the three
MBA majors ?
Finance Marketing Management3 1 81 5 54 3 41 4 6
State the hypotheses: H0: μ1 = μ2 = μ3
H1: μi not all equal
P-value < 0.0377 < 0.05
There is sufficient evidence to conclude that there are differences in the number of job offers between the three MBA
majors.
0.037678